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An element nodal force-based large increment method for elastoplasticity
Long, Danbin; Guo, Zaoyang; Liu, Xila et al.
2010In AIP Conference Proceedings, 1233 (PART 1), p. 1401-1405
Peer reviewed
 

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Keywords :
Elastoplasticity; Force method; Generalised inverse of a matrix; Large increment method
Abstract :
[en] This paper presents a new method for establishing the basic equations in the novel force-based large increment method (LIM) for continuum elastoplastic problems. In LIM, unlike traditional displacement methods, the (generalised) elemental force variables are adopted as system unknowns. The equilibrium equations can then be obtained directly at every nodal degree of freedom without physical equations (i.e., constitutive equations) involved. The generalised inverse of the non-square system of equations is employed to obtain the set of solutions of the non-square matrix equations directly. A conjugate gradient procedure is then used to find the correct solution from this set of solutions by optimising the compatibility of the solution based on the fact that the correct solution should also satisfy the constitutive equations and the compatibility equations. In this paper, the generalised elemental force variables are defined based on the element nodal forces. The LIM framework is therefore successfully applied to elements based on this definition. The efficiency and accuracy of the LIM are illustrated with a few benchmark problems and the results are compared with the analytical solution and the conventional displacement-based finite element method.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Long, Danbin;  Department of Civil Engineering, Shanghai Jiao Tong University, Shanghai, China
Guo, Zaoyang;  Department of Civil Engineering, University of Glasgow, Glasgow G12 8LT, United Kingdom
Liu, Xila;  Department of Civil Engineering, Shanghai Jiao Tong University, Shanghai, China
Bordas, Stéphane ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Zhang, Leiming;  Department of Civil Engineering, Shanghai Jiao Tong University, Shanghai, China
External co-authors :
yes
Language :
English
Title :
An element nodal force-based large increment method for elastoplasticity
Publication date :
2010
Event name :
2nd International Symposium on Computational Mechanics, ISCM II, and the 12th International Conference on the Enhancement and Promotion of Computational Methods in Engineering and Science, EPMESC XII
Event date :
30 November 2009 through 3 December 2009
Audience :
International
Journal title :
AIP Conference Proceedings
ISSN :
0094-243X
Volume :
1233
Issue :
PART 1
Pages :
1401-1405
Peer reviewed :
Peer reviewed
Focus Area :
Computational Sciences
Funders :
K. C. Wong Education Foundation;Macao Foundation;Macau Government Tourist Office;Science and Technology Development Fund of Macao SAR;University of Macau
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